Home
Class 12
MATHS
Let A be a square matrix of order 'n' ...

Let A be a square matrix of order 'n'
then`abs[KA]=`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY & DIFFERENTIABILITY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|178 Videos

  • DIFFERENTIAL EQUATION

    MAXIMUM PUBLICATION|Exercise EXAMPLE|81 Videos

Similar Questions

Explore conceptually related problems

Let A be a square matrix of order 2x2 then abs[KA] is equal to

Let B is a square matrix of order 5, then abs[kB] is equal to….

Let A be square matrix of order 3 . If |A|=2 , then the value of |A| |adj A| is a)8 b)-8 c)-1 d)32

If A is a square matrix of order n such that ladj (AdjA)| = |A|^(9) . Then the value of n can be a)4 b)2 c)Either 4 or 2 d)None of these

Given A and B are square matrices of order 2 such that absA=-1 , absB=3 . Find abs(3AB) .

If A is a square matrix of order 3, then value of |(A - A^(T))^(2005) | is equal to A)1 B)3 C)-1 D)0

Let A be a non-singular square matrix of order 3xx3 .Then |adj A| is ...

If A is a square matrix of order 3 such that A^2 + A + 4I =0 , where 0 is the zero matrix and I is the unit matrix of order 3, then

If A and B are square matrices of order n, then A - lambda I and B - lambda I commute for every scalar lambda only if a)AB = BA b) AB + BA = 0 c)A = - B d)None of these

If A and B are matrices of order 3 such that abs[A]=-1 , abs[B]=3 ,then abs[3AB] is

MAXIMUM PUBLICATION-DETERMINANTS-EXAMPLE
  1. Consider the system of equations 5x+2y=4,7x+3y=5.IfA=[[5,2],[7,3]],X...

    Text Solution

    |

  2. Consider the system of equations 5x+2y=4,7x+3y=5.If A=[[5,2],[7,3]],...

    Text Solution

    |

  3. Let A be a square matrix of order 'n' thenabs[KA]=

    Text Solution

    |

  4. Find x if abs[[x,2],[18,x]]=abs[[6,2],[18,6]]

    Text Solution

    |

  5. Choose the correct answer from the bracket.The value of the determin...

    Text Solution

    |

  6. Consider abs[[a,a+b,a+b+c],[2a,3a+2b,4a+3b+2c],[3a,6a+3b,10a+6b+3c]]

    Text Solution

    |

  7. Letabs[[1,3,2],[2,0,1],[3,4,3]]=3,then what is the value ofabs[[1,3,...

    Text Solution

    |

  8. Using properties of determinants show that abs[[1+a,1,1],[1,1+b,1]...

    Text Solution

    |

  9. IfA=[[2,-3,5],[3,2,-4],[1,1,-2]] Findabs[A]

    Text Solution

    |

  10. IfA=[[2,-3,5],[3,2,-4],[1,1,-2]] Find adjA.

    Text Solution

    |

  11. LetA=[[1,-1,1],[2,1,-3],[1,1,1]] is A singular?

    Text Solution

    |

  12. LetA=[[1,-1,1],[2,1,-3],[1,1,1]] Find adjA.

    Text Solution

    |

  13. Let A=[[1,-1,1] ,[2,1,-3] ,[1,1,1]] Obtain A^-1.

    Text Solution

    |

  14. LetA=[[1,-1,1],[2,1,-3],[1,1,1]] Using A^-1 solve the system of eq...

    Text Solution

    |

  15. Solve the following system of linear equations. x+y+z=3, y-z=0, ...

    Text Solution

    |

  16. Solve the following system of linear equations. x+2y+5z=10, x-y-...

    Text Solution

    |

  17. If f(x)=[[cosx,-sinx,0],[sinx,cosx,0],[0,0,1]] Find f(-x)

    Text Solution

    |

  18. Solve the following system of linear equations. x+2y+5z=10, x-y-...

    Text Solution

    |

  19. Solve the following system of linear equations. x+y+z=3, y-z=0, ...

    Text Solution

    |

  20. If A=[[2,3],[1,-2]] and A^-1=kA,then the value of 'k' is

    Text Solution

    |